Find the derivative of (x+1) (x-2)/√x
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Answer:
x
−
1
x
−
2
Differentiate using the Quotient Rule which states that
d
d
x
[
f
(
x
)
g
(
x
)
]
is
g
(
x
)
d
d
x
[
f
(
x
)
]
−
f
(
x
)
d
d
x
[
g
(
x
)
]
g
(
x
)
2
where
f
(
x
)
=
x
−
1
and
g
(
x
)
=
x
−
2
.
(
x
−
2
)
d
d
x
[
x
−
1
]
−
(
x
−
1
)
d
d
x
[
x
−
2
]
(
x
−
2
)
2
Differentiate.
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x
−
2
−
(
x
−
1
)
(
x
−
2
)
2
Simplify.
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−
1
(
x
−
2
)
2
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